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Finding the Fourth Proportional to 12,290.22, 18,448.29 and 5,722.74

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Solution

The fourth proportional to 12,290.22, 18,448.29 and 5,722.74 is: 8,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290.22 : 18,448.29 = 5,722.74 : x
  2. Step 2: Convert to fraction form
    12,290.22/18,448.29 = 5,722.74/x
  3. Step 3: Cross multiply
    12,290.22x = 18,448.29 × 5,722.74
  4. Step 4: Simplify right side
    12,290.22x = 105,574,767.11
  5. Step 5: Solve for x
    x = 105,574,767.11/12,290.22
  6. Step 6: Final answer
    x = 8,590.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.